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Finding the Fourth Proportional to 54,281, 74,912.10 and 31,929.32

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Solution

The fourth proportional to 54,281, 74,912.10 and 31,929.32 is: 44,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,281 : 74,912.10 = 31,929.32 : x
  2. Step 2: Convert to fraction form
    54,281/74,912.10 = 31,929.32/x
  3. Step 3: Cross multiply
    54,281x = 74,912.10 × 31,929.32
  4. Step 4: Simplify right side
    54,281x = 2,391,892,412.77
  5. Step 5: Solve for x
    x = 2,391,892,412.77/54,281
  6. Step 6: Final answer
    x = 44,065.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.